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Precedence -- from Wolfram MathWorld

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Precedence

Consider the expression . This expression has value due to what is called operator precedence (or "order of operations"). Precedence of common operators is generally defined so that "higher-level" operations are performed first (i.e., advanced operations "bind more tightly")/ For simple expressions, operations are typically ordered from highest to lowest in the order:

1. Parenthesization,

2. Factorial,

3. Exponentiation,

4. Multiplication and division,

5. Addition and subtraction.

For more complex operations, the order of operations depends on the system.

A number of geographically-varying methods for remembering basic precedence rules exist, e.g., PEMDAS in the United States.

See alsoOperation

,

Parenthesis

,

PEMDAS

Portions of this entry contributed by Christopher Stover

Portions of this entry contributed by Ed Pegg, Jr. (author's link)

Explore with Wolfram|Alpha ReferencesWolfram Research, Inc. "§A.2.7. Operator Input Forms." http://documents.wolfram.com/mathematica/book/section-A.2.7. Referenced on Wolfram|AlphaPrecedence Cite this as:

Pegg, Ed Jr.; Stover, Christopher; and Weisstein, Eric W. "Precedence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Precedence.html

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